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In a system where two forces act at an angle of 90 degrees, how do you find the

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Question: In a system where two forces act at an angle of 90 degrees, how do you find the resultant force?

Options:

  1. By adding the forces algebraically
  2. Using the Pythagorean theorem
  3. By taking the average of the two forces
  4. By subtracting the smaller force from the larger force

Correct Answer: Using the Pythagorean theorem

Solution:

The resultant force can be found using the Pythagorean theorem since the forces are perpendicular.

In a system where two forces act at an angle of 90 degrees, how do you find the

Practice Questions

Q1
In a system where two forces act at an angle of 90 degrees, how do you find the resultant force?
  1. By adding the forces algebraically
  2. Using the Pythagorean theorem
  3. By taking the average of the two forces
  4. By subtracting the smaller force from the larger force

Questions & Step-by-Step Solutions

In a system where two forces act at an angle of 90 degrees, how do you find the resultant force?
  • Step 1: Identify the two forces acting at a 90-degree angle. Let's call them Force A and Force B.
  • Step 2: Measure the magnitude (strength) of Force A and Force B.
  • Step 3: Use the Pythagorean theorem, which states that the square of the hypotenuse (resultant force) is equal to the sum of the squares of the other two sides. The formula is: Resultant Force = √(Force A² + Force B²).
  • Step 4: Plug in the values of Force A and Force B into the formula.
  • Step 5: Calculate the squares of Force A and Force B, add them together, and then take the square root of that sum to find the resultant force.
  • Resultant Force – The combined effect of two or more forces acting on an object.
  • Pythagorean Theorem – A mathematical principle used to calculate the length of the sides of a right triangle, applicable here for finding the magnitude of the resultant force.
  • Vector Addition – The process of combining vectors, which includes considering their directions and magnitudes.
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